In this chapter, the authors provide the simultaneous applications of numerical and mathematical methods for engineers. The best way to ignite the fire of curiosity in the student is the validation of their ideas and learning. Specially, the engineering students learn best when they are prompted by problems. This can be achieved through the validation of their analytical results with experimental. Therefore, the scope of the present work is to synchronize of the above-mentioned two domains (numerical, experimental). Furthermore, we have approached numerical methods from an experimental perspective. Mathematical methods are techniques by which mathematical problems are developed so that these can be solved with arithmetic operations. Although, there are many forms of numerical methods, they possess one common characteristic: they invariably call for large numbers of tedious arithmetic calculations. This work intends to relate the theoretical understanding with the real world problems.